Search a number
-
+
22305052 = 22711139521
BaseRepresentation
bin101010100010…
…1100100011100
31112222012210001
41111011210130
521202230202
62114024044
7360406210
oct125054434
945865701
1022305052
1111655130
127578024
13480c673
142d68940
151e58d87
hex154591c

22305052 has 48 divisors (see below), whose sum is σ = 49109760. Its totient is φ = 8611200.

The previous prime is 22305047. The next prime is 22305061. The reversal of 22305052 is 25050322.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42552 + ... + 43072.

It is an arithmetic number, because the mean of its divisors is an integer number (1023120).

Almost surely, 222305052 is an apocalyptic number.

22305052 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22305052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24554880).

22305052 is an abundant number, since it is smaller than the sum of its proper divisors (26804708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22305052 is a wasteful number, since it uses less digits than its factorization.

22305052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 19.

The square root of 22305052 is about 4722.8224611984. The cubic root of 22305052 is about 281.4930953700.

Adding to 22305052 its reverse (25050322), we get a palindrome (47355374).

The spelling of 22305052 in words is "twenty-two million, three hundred five thousand, fifty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 139 154 278 308 521 556 973 1042 1529 1946 2084 3058 3647 3892 5731 6116 7294 10703 11462 14588 21406 22924 40117 42812 72419 80234 144838 160468 289676 506933 796609 1013866 1593218 2027732 3186436 5576263 11152526 22305052